Finding the Third Proportional to 486 and 1,296
Calculator
Solution
The third proportional to 486 and 1,296 is: 3,456
Step by Step Solution
- Step 1: Write the proportion equation
486 : 1,296 = 1,296 : x - Step 2: Convert to fraction form
486/1,296 = 1,296/x - Step 3: Cross multiply
486x = 1,296 × 1,296 - Step 4: Simplify right side
486x = 1,679,616 - Step 5: Solve for x
x = 1,679,616/486 - Step 6: Final answer
x = 3,456
Related Problems
Find third proportional to 243 and 648
Half scale
Find third proportional to 972 and 2,592
Double scale
Find third proportional to 488 and 1,301
Similar ratio
Find third proportional to 729 and 1,944
1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.